Perturbation theory of spherically symmetric self-similar black holes

Details Perturbation theory of spherically symmetric self-similar black holes Perturbation theory of spherically symmetric self-similar black holes

2007-06-22

arxiv.org/abs/0706.3238v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

63 pages, 1 eps figure

Scientific paper

The theory of perturbations of spherically symmetric self-similar black holes is presented, in the Newman-Penrose formalism. It is shown that the wave equations for gravitational, electromagnetic, and scalar waves are separable, though not decoupled. A generalization of the Teukolsky equation is given. Monopole and dipole modes are treated. The Newman-Penrose wave equations governing polar and axial spin-0 perturbations are explored.

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